Correction: Modeling of sub-grid dispersion in large-eddy simulation using regularized deconvolution method

2018 ◽  
Author(s):  
Qing Wang ◽  
Xinyu Zhao ◽  
Matthias Ihme
Keyword(s):  
Large Eddy Simulation ◽  
Deconvolution Method ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Grid Dispersion

A TWO-LEVEL MULTISCALE DECONVOLUTION METHOD FOR THE LARGE EDDY SIMULATION OF TURBULENT FLOWS

2012 ◽  
Vol 22 (06) ◽  
pp. 1250001 ◽  
Author(s):  
ARGUS ADRIAN DUNCA
Keyword(s):  
Weak Solution ◽  
Large Eddy Simulation ◽  
Turbulent Flows ◽  
Energy Estimates ◽  
Length Scale ◽  
Deconvolution Method ◽  
Eddy Simulation ◽  
Extrapolation Formula ◽  
Large Eddy ◽  
Les Model

This report presents a novel continuous deconvolution method which is used to solve the closure problem in Large Eddy Simulation (LES for short) leading to a new LES model. In the deconvolution method described herein the flow velocities u are approximated by their average ũ on a fine intermediate length scale γ and then, by means of an exact extrapolation formula, expressed in terms of the averaged flow ū on the length scale α, which we seek to resolve. We prove existence, uniqueness and regularity of the weak solution w(α, γ) of the resulting LES models as well as energy estimates of the weak solution that are uniform in the intermediate length scale γ of the deconvolution procedure. We show also that the modeling error ‖ū - w(α, γ)‖ is driven only by the deconvolution error ‖u - ũ‖ and is independent of the resolved scale α.

Sign in / Sign up

Export Citation Format

Share Document